83314483200 has 1344 divisors, whose sum is σ = 352667011200. Its totient is φ = 19110297600.

The previous prime is 83314483157. The next prime is 83314483211. The reversal of 83314483200 is 238441338.

It is a happy number.

83314483200 is a `hidden beast` number, since 8 + 3 + 3 + 1 + 448 + 3 + 200 = 666.

It is a super-2 number, since 2×83314483200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1365811170 + ... + 1365811230.

It is an arithmetic number, because the mean of its divisors is an integer number (262401050).

Almost surely, 2^83314483200 is an apocalyptic number.

83314483200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83314483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176333505600).

83314483200 is an abundant number, since it is smaller than the sum of its proper divisors (269352528000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83314483200 is a wasteful number, since it uses less digits than its factorization.

83314483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 83314483200 in words is "eighty-three billion, three hundred fourteen million, four hundred eighty-three thousand, two hundred".